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Finding the Third Proportional to 104,923.50 and 226,599

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Solution

The third proportional to 104,923.50 and 226,599 is: 489,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,923.50 : 226,599 = 226,599 : x
  2. Step 2: Convert to fraction form
    104,923.50/226,599 = 226,599/x
  3. Step 3: Cross multiply
    104,923.50x = 226,599 × 226,599
  4. Step 4: Simplify right side
    104,923.50x = 51,347,106,801
  5. Step 5: Solve for x
    x = 51,347,106,801/104,923.50
  6. Step 6: Final answer
    x = 489,376.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.